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Finding the Fourth Proportional to 12,431.85, 18,655.64 and 11,264.23

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Solution

The fourth proportional to 12,431.85, 18,655.64 and 11,264.23 is: 16,903.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,431.85 : 18,655.64 = 11,264.23 : x
  2. Step 2: Convert to fraction form
    12,431.85/18,655.64 = 11,264.23/x
  3. Step 3: Cross multiply
    12,431.85x = 18,655.64 × 11,264.23
  4. Step 4: Simplify right side
    12,431.85x = 210,141,419.76
  5. Step 5: Solve for x
    x = 210,141,419.76/12,431.85
  6. Step 6: Final answer
    x = 16,903.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.